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Finding the Fourth Proportional to 27,541.50, 41,313.06 and 6,765

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Solution

The fourth proportional to 27,541.50, 41,313.06 and 6,765 is: 10,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,541.50 : 41,313.06 = 6,765 : x
  2. Step 2: Convert to fraction form
    27,541.50/41,313.06 = 6,765/x
  3. Step 3: Cross multiply
    27,541.50x = 41,313.06 × 6,765
  4. Step 4: Simplify right side
    27,541.50x = 279,482,850.90
  5. Step 5: Solve for x
    x = 279,482,850.90/27,541.50
  6. Step 6: Final answer
    x = 10,147.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.